Asymptotic Behavior of Maxima of Independent Random Variables

Matsak Ivan

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Asymptotic Behavior of Maxima of Independent Random Variables

机译：独立随机变量最大值的渐近行为

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摘要

We investigate almost sure asymptotic behavior of the maximum of n independent random variables as n. We provide exact upper and lower bounds of properly centered and normalized maximum.

机译：我们研究了几乎肯定的渐近行为，最大的n个独立随机变量为n。我们提供适当居中和归一化最大化的精确上限和下限。

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来源
《Lithuanian mathematical journal 》 |2019年第2期| 共13页
作者
Matsak Ivan;
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作者单位

Taras Shevchenko Natl Univ Kyiv 2-6 Academician Glushkov Ave UA-03127 Kiev Ukraine;

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原文格式 PDF
正文语种 eng
中图分类数学 ;
关键词
extreme values; independent random variables; almost sure limit theorems;

机译：极值;独立随机变量;几乎确定限制定理;

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专利

1. Asymptotic Behavior of Maxima of Independent Random Variables [J] . Matsak Ivan Lithuanian mathematical journal . 2019 ,第2期

机译：独立随机变量最大值的渐近行为
2. Some results on asymptotic behaviors of random sums of independent identically distributed random variables [J] . Tran Loc Hung, Tran Thien Thanh Communications of the Korean Mathematical Society . 2010 ,第1期

机译：关于独立同分布随机变量的随机和的渐近行为的一些结果
3. Maxima of asymptotically Gaussian random fields and moderate deviation approximations to boundary crossing probabilities of sums of random variables with multidimensional indices [J] . Chan HP, Lai TL The Annals of Probability: An Official Journal of the Institute of Mathematical Statistics . 2006 ,第1期

机译：渐近高斯随机场的最大值和具有多维指标的随机变量之和的边界越界概率的中偏差近似
4. Asymptotic Results for Sums of Independent Random Variables with Alternating Laws [C] . Claudio Macci International Conference on Soft Methods in Probability and Statistics . 2017

机译：具有交替定律的独立随机变量的渐近结果
5. Response surface optimization techniques for multiple objective and randomly valued independent variable problems. [D] . Dvorak, Todd Martin. 2001

机译：用于多目标和随机值自变量问题的响应面优化技术。
6. Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables [O] . Haiwu Huang, Qingxia Zhang, Xiongtao Wu -1

机译：渐近负相关随机变量完全收敛的充分必要条件
7. SOME RESULTS ON ASYMPTOTIC BEHAVIORS OF RANDOM SUMS OF INDEPENDENT IDENTICALLY DISTRIBUTED RANDOM VARIABLES [O] . Tran Loc Hung, Tran Thien Thanh 2010

机译：一些结果对独立相同分布的随机变量随机和的渐近行为
8. Asymptotic Distributions for Sums of Independent Exponentially Distributed Random Variables and for the Pure Birth Process [R] . Sherman, B. 1970

机译：独立指数随机变量和纯生成过程和的渐近分布

Asymptotic Behavior of Maxima of Independent Random Variables

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